Accurate Procedures of the Sparse-Matrix Deflation for Circuit Pole-Zero Analysis

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F11%3A00183907" target="_blank" >RIV/68407700:21230/11:00183907 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Accurate Procedures of the Sparse-Matrix Deflation for Circuit Pole-Zero Analysis

Popis výsledku v původním jazyce

The pole-zero analysis is generally known to be very sensitive to the numerical precision of the computer arithmetic. In the paper, various methods are suggested for solving that problem. First, an optimal pivoting strategy of the algorithm that reducesthe general eigenvalue problem to the standard one is presented for both full- and sparse-matrix procedures. The algorithm increases the precision of the semisymbolic analysis. A new technique has also been incorporated recognizing multiple poles or zeros, which are often computed inaccurately by the standard algorithms. A novel type of this procedure called secondary root polishing is described in a detailed way. The accuracy is further increased using longer numerical data. First, the long double precision is utilized. Furthermore, a novel application of a suitable multiple-precision arithmetic library is suggested. Finally, using the longer numerical data to eliminate possible imprecision of the multiple eigenvalues is evaluated.

Název v anglickém jazyce

Accurate Procedures of the Sparse-Matrix Deflation for Circuit Pole-Zero Analysis

Popis výsledku anglicky

The pole-zero analysis is generally known to be very sensitive to the numerical precision of the computer arithmetic. In the paper, various methods are suggested for solving that problem. First, an optimal pivoting strategy of the algorithm that reducesthe general eigenvalue problem to the standard one is presented for both full- and sparse-matrix procedures. The algorithm increases the precision of the semisymbolic analysis. A new technique has also been incorporated recognizing multiple poles or zeros, which are often computed inaccurately by the standard algorithms. A novel type of this procedure called secondary root polishing is described in a detailed way. The accuracy is further increased using longer numerical data. First, the long double precision is utilized. Furthermore, a novel application of a suitable multiple-precision arithmetic library is suggested. Finally, using the longer numerical data to eliminate possible imprecision of the multiple eigenvalues is evaluated.

Druh

D - Stať ve sborníku

CEP obor

JA - Elektronika a optoelektronika, elektrotechnika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP102%2F10%2F1665" target="_blank" >GAP102/10/1665: Symbolické a semisymbolické metody pro výkonové a mechatronické aplikace</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

IEEE Africon 2011

ISBN

978-1-61284-993-5

ISSN

2153-0025

e-ISSN

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Počet stran výsledku

6

Strana od-do

1-6

Název nakladatele

IEEE

Místo vydání

Piscataway

Místo konání akce

Livingstone

Datum konání akce

13. 9. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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